Arne Jensen

Cand. Scient. 1976, Aarhus Universitet. Lic. Scient. 1979, Aarhus Universitet.

  • Skjernvej 4, A, 5-142

    9220 Aalborg Ø

    Denmark

1991 …2022
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Research Output 1991 2019

2019

Instability of Resonances Under Stark Perturbations

Jensen, A. & Yajima, K., 5 Feb 2019, In : Annales Henri Poincare. 20, 2, p. 675-687 13 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Perturbation
perturbation
Scattering Theory
operators
Operator
2018
Open Access
Resolvent
Norm
Estimate
Closed Operator
Unbounded Operators

Instability of resonances under Stark perturbations

Jensen, A. & Yajima, K., 2018, ArXiv, 11 p.

Research output: Working paperResearch

1 Citation (Scopus)

On the adiabatic theorem when eigenvalues dive into the continuum

Cornean, D. H., Jensen, A., Knörr, H. K. & Nenciu, G., 2018, In : Reviews in Mathematical Physics. 30, 5, 25 p., 1850011.

Research output: Contribution to journalJournal articleResearchpeer-review

Survival Probability
Bound States
Continuum
eigenvalues
theorems

Resolvent expansion for the Schrödinger operator on a graph with infinite rays

Ito, K. & Jensen, A., Aug 2018, In : Journal of Mathematical Analysis and Applications. 464, 1, p. 616-661 46 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Resolvent
Eigenfunctions
Half line
Eigenvalues and eigenfunctions
Zero
2017

On the adiabatic behaviour of a Wigner-Weisskopf atom

Cornean, D. H., Jensen, A., Knörr, H. K. & Nenciu, G., 2017, Proceedings of the Conference on Spectral and Scattering Theory and Related Topics, 2016: RIMS Kâkyûroku No. 2045. 4 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearch

Resolvent expansion for the Schrödinger operator on a graph with infinite rays

Ito, K. & Jensen, A., 2017, ArXiv, 55 p.

Research output: Working paperResearch

Open Access
1 Citation (Scopus)
77 Downloads (Pure)

Resolvent expansions for the Schrödinger operator on the discrete half-line

Ito, K. & Jensen, A., 2017, In : Journal of Mathematical Physics. 58, 5, 24 p., 052101.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

On the adiabatic theorem when eigenvalues dive into the continuum

Cornean, D. H., Jensen, A., Knörr, H. K. & Nenciu, G., 8 Dec 2016, ArXiv, 21 p. (arXiv.org (e-prints)).

Research output: Working paperResearch

eigenvalues
theorems
continuums
continuous spectra
energy

Resolvent expansions for the Schrödinger operator on the discrete half-line

Ito, K. & Jensen, A., 2016, ArXiv, 36 p.

Research output: Working paperResearch

2015
8 Citations (Scopus)

A complete classification of threshold properties for one-dimensional discrete Schrödinger operators

Ito, K. & Jensen, A., 2015, In : Reviews in Mathematical Physics. 27, 1, p. 1-45 45 p., 1550002.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
7 Citations (Scopus)

Metastable states when the Fermi Golden Rule constant vanishes

Cornean, H., Jensen, A. & Nenciu, G., 2015, In : Communications in Mathematical Physics. 334, 3, p. 1189-1218 30 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Resolvent expansion for the discrete one-dimensional Schrödinger operator

Ito, K. & Jensen, A., Jul 2015, Proceedings of the QMath12 Conference: Mathematical Results in Quantum Mechanics. Exner, P., König, W. & Neidhardt, H. (eds.). World Scientific, p. 253-257 5 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

2014
7 Citations (Scopus)

Memory Effects in Non-Interacting Mesoscopic Transport

Cornean, H., Jensen, A. & Nenciu, G., Oct 2014, In : Annales Henri Poincare. 15, 10, p. 1919-1943 25 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2013

About the Code of Practice of the European Mathematical Society

Jensen, A., Mar 2013, In : EMS Newsletter. 87

Research output: Contribution to journalJournal articleCommunication

moral philosophy
Society
512 Downloads (Pure)

A complete classification of threshold properties for one-dimensional discrete Schrödinger operators

Ito, K. & Jensen, A., Dec 2013, Department of Mathematical Sciences, Aalborg University. 51 p. (Research Report Series; No. R-2013-12).

Research output: Book/ReportReportResearch

File
575 Downloads (Pure)

Metastable states when the Fermi Golden Rule constant vanishes

Cornean, H., Jensen, A. & Nenciu, G., Dec 2013, Department of Mathematical Sciences, Aalborg University. 28 p. (Research Report Series; No. 11).

Research output: Book/ReportReportResearch

File

XVIIth Interntional Congress on Mathematical Physics

Jensen, A. (ed.), Oct 2013, Singapore: World Scientific. 744 p.

Research output: Book/ReportAnthologyResearchpeer-review

Denmark
physics
congressional reports
2012
921 Downloads (Pure)

Memory effects in non-interacting mesoscopic transport

Cornean, H., Jensen, A. & Nenciu, G., Nov 2012, Department of Mathematical Sciences, Aalborg University. 17 p. (Research Report Series; No. R-2012-05).

Research output: Book/ReportReportResearch

File

Wavelets and the lifting scheme

la Cour-Harbo, A. & Jensen, A., 2012, Computational Complexity: Theory, Techniques, and Applications. Meyers (Editor-in-Chief), R. A. (ed.). Springer, p. 3316-3340 25 p.

Research output: Contribution to book/anthology/report/conference proceedingEncyclopedia chapterResearchpeer-review

Discrete wavelet transforms
Linear algebra
Signal processing
2011

Decay laws for resonances produced by perturbation of unstable eigenvalues close to a threshold

Dinu, V., Jensen, A. & Nenciu, G., 2011, Proceedings of the QMath11 Conference: Mathematical Results in Quantum Physics. Exner, P. (ed.). World Scientific, p. 155-168 14 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

10 Citations (Scopus)

Perturbation of near threshold eigenvalues: Crossover from exponential to non-exponential decay laws

Dinu, V., Jensen, A. & Nenciu, G., 2011, In : Reviews in Mathematical Physics. 23, 1, p. 83-125

Research output: Contribution to journalJournal articleResearchpeer-review

The European Mathematical Society Ethics Committee

Jensen, A., Jun 2011, In : EMS Newsletter. 80, p. 11-12 2 p.

Research output: Contribution to journalJournal articleCommunication

moral philosophy
Society
2010
147 Downloads (Pure)

Decay laws for resonances produced by perturbation of unstable eigenvalues close to a threshold

Dinu, V., Jensen, A. & Nenciu, G., Nov 2010, Department of Mathematical Sciences, Aalborg University. (Research Report Series; No. R-2010-18).

Research output: Book/ReportReportResearch

File

On self-adjointness of singular Floquet Hamiltonians

Duclos, P. & Jensen, A., 2010, In : Journal of Physics A: Mathematical and Theoretical. 43, 47, 9 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Self-adjointness
Hamiltonians
Mathematical operators
Propagator
Self-adjoint Operator
281 Downloads (Pure)

On self-adjointness of singular Floquet Hamiltonians

Duclos, P. & Jensen, A., Jun 2010, Department of Mathematical Sciences, Aalborg University. 10 p. (Research Report Series; No. R-2010-05).

Research output: Book/ReportReportResearch

File
227 Downloads (Pure)

Perturbation of near threshold eigenvalues: Crossover from exponential to non-exponential decay laws

Dinu, V., Jensen, A. & Nenciu, G., Jun 2010, Department of Mathematical Sciences, Aalborg University. 47 p. (Research Report Series; No. R-2010-04).

Research output: Book/ReportReportResearch

File

Spatial growth of fundamental solutions for certain perturbations of the harmonic oscillator

Jensen, A. & Yajima, K., 2010, In : Reviews in Mathematical Physics. 22, 2, p. 193-206 14 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Fundamental Solution
Harmonic Oscillator
infinity
harmonic oscillators
Infinity
2009

Exponential decay laws in perturbation theory of threshold and embedded eigenvalues

Jensen, A. & Nenciu, G., 2009, New Trends in Mathematical Physics: Selected contributions of the XVth International Congress on Mathematical Physics. Sidoravicius, V. (ed.). Springer, p. 525-538

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

10 Citations (Scopus)

Nonexponential decay laws in perturbation theory of near threshold eigenvalues

Dinu, V., Jensen, A. & Nenciu, G., 2009, In : Journal of Mathematical Physics. 50, 1, 20 p.

Research output: Contribution to journalJournal articleResearchpeer-review

201 Downloads (Pure)

Spatial growth of fundamental solutions for certain perturbations of the harmonic oscillator

Jensen, A. & Yajima, K., 2009, Department of Mathematical Sciences, Aalborg University. 15 p. (Research Report Series; No. R-2009-16).

Research output: Book/ReportReportResearch

Open Access
File
Fundamental Solution
Harmonic Oscillator
Infinity
Perturbation
Hessian matrix

Wavelets and the lifting scheme

la Cour-Harbo, A. & Jensen, A., 2009, Encyclopedia of Complexity and Systems Science. Meyers (Editor-in-Chief), R. A. (ed.). Springer, p. 10007-10031 25 p.

Research output: Contribution to book/anthology/report/conference proceedingEncyclopedia chapterResearchpeer-review

Discrete wavelet transforms
Linear algebra
Signal processing
2008

Book review: At våga sitt tärningskast - Gösta Mittag-Leffler 1846-1927

Jensen, A., 2008, In : EMS Newsletter. p. 44-45 2 p.

Research output: Contribution to journalReview articleResearch

115 Downloads (Pure)

Non-exponential decay laws in perturbation theory of near threshold eigenvalues

Dinu, V., Jensen, A. & Nenciu, G., 2008, Aalborg: Department of Mathematical Sciences, Aalborg University. 29 p. (Research Report Series; No. R-2008-16).

Research output: Book/ReportReportResearch

Open Access
File
Perturbation Theory
Physics
Decay
Eigenvalue
10 Citations (Scopus)

On L-p boundedness of wave operators for 4-dimensional Schrodinger operators with threshold singularities

Jensen, A. & Yajima, K., 2008, In : Proceedings of the London Mathematical Society. 96, 1, p. 136-162 27 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Wave Operator
Boundedness
Singularity
Operator

On the Fermi Golden Rule: Degenerate Eigenvalues

Jensen, A. & Nenciu, G., 2008, Perspectives in Operator Algebras and Mathematical Physics. Boca, F. P., Purice, R. & Stratila, S. (eds.). The Theta Foundation, p. 91-103 13 p. (Theta Series in Advanced Mathematics; No. 8).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Fermi's Golden Rule
Eigenvalue
Continuum
Odd
Perturbation

Uniqueness Results for Transient Dynamics of Quantum Systems

Jensen, A. & Nenciu, G., 2008, In : Contemporary Mathematics. p. 165-174 10 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2007
265 Downloads (Pure)

Exponential decay laws in perturbation theory of threshold and embedded eigenvalues

Jensen, A. & Nenciu, G., 2007, Aalborg: Department of Mathematical Sciences, Aalborg University. 16 p. (Research Report Series; No. R-2007-10).

Research output: Book/ReportReportResearch

Open Access
File
87 Downloads (Pure)

On Lp boundedness of wave operators for four dimensional Schrödinger operators with threshold singularities

Jensen, A. & Yajima, K., 2007, Aalborg: Department of Mathematical Sciences, Aalborg University. 28 p. (Research Report Series; No. R-2007-01).

Research output: Book/ReportReportResearch

Open Access
File
188 Downloads (Pure)

Uniqueness results for transient dynamics of quantum systems

Jensen, A. & Nenciu, G., 2007, Aalborg: Department of Mathematical Sciences, Aalborg University. 10 p. (Research Report Series; No. R-2007-11).

Research output: Book/ReportReportResearch

Open Access
File
242 Downloads (Pure)

Wavelets and the Lifting Scheme

la Cour-Harbo, A. & Jensen, A., 2007, Department of Mathematical Sciences, Aalborg University. 44 p. (Research Report Series; No. R-2007-27).

Research output: Book/ReportReportResearch

Open Access
File
Discrete wavelet transforms
Linear algebra
Signal processing
2006
84 Downloads (Pure)

On the Fermi Golde Rule: degenerate eigenvalues

Jensen, A. & Nenciu, G., 2006, Department of Mathematical Sciences, Aalborg University. (Research Report Series; No. R-2006-17).

Research output: Book/ReportReportResearch

Open Access
File
Eigenvalue
Continuum
Perturbation
Review
Framework
5 Citations (Scopus)
492 Downloads (Pure)

Schrodinger operators on the half line: resolvent expansions and the Fermi golden rule at thresholds

Jensen, A. & Nenciu, G., 2006, In : Proceedings of the Indian Academy of sciences. Mathematical sciences. 116, 4, p. 375-392 18 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
20 Citations (Scopus)

The Fermi Golden Rule and its form at thresholds in odd dimensions

Jensen, A. & Nenciu, G., 2006, In : Communications in Mathematical Physics. 261, 3, p. 693-727 34 p.

Research output: Contribution to journalJournal articleResearchpeer-review

8 Citations (Scopus)

The Landauer-Büttiker formula and resonant quantum transport

Cornean, H., Jensen, A. & Moldoveanu, V., 2006, Lecture Notes in Physics: Mathematical Physics of Quantum Mechanics. Asch, J. & Joye, A. (eds.). Springer, Vol. 690. p. 45-53 9 p.

Research output: Contribution to book/anthology/report/conference proceedingBook chapterResearch

Quantum Transport
Numerical Computation
Model
2005
29 Citations (Scopus)

A rigorous proof of the Landauer-Buttiker formula

Cornean, H. D., Jensen, A. & Moldoveanu, V., 2005, In : Journal of Mathematical Physics. 46, 4, p. 1-28

Research output: Contribution to journalJournal articleResearchpeer-review

Quantum Transport
Scattering Problems
Quantum Dots
Conductance
Discrete Model

New criteria to identify spectrum

Jensen, A. & Krishna, M., 2005, In : Proceedings of the Indian Academy of sciences. Mathematical sciences. 115, 2, p. 217-226

Research output: Contribution to journalJournal articleResearchpeer-review

Hilbert spaces
Mathematical operators
Decomposition
106 Downloads (Pure)

Schrödinger operators on the half line: Resolvent expansions and the Fermi Golden Rule at threshold

Jensen, A. & Nenciu, G., 2005, 21 p. (Research Report Series; No. R-2005-34).

Research output: Book/ReportReportResearch

Open Access
File
Fermi's Golden Rule
Resolvent
Half line
Polynomial Decay
Zero Point
78 Downloads (Pure)

The Fermi Golden Rule at thresholds

Jensen, A. & Nenciu, G., 2005, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 29 p. (Research Report Series; No. R-2005-03).

Research output: Book/ReportReportResearch

Open Access
File